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Finding the Third Proportional to 148,893 and 324,030

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Solution

The third proportional to 148,893 and 324,030 is: 705,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,893 : 324,030 = 324,030 : x
  2. Step 2: Convert to fraction form
    148,893/324,030 = 324,030/x
  3. Step 3: Cross multiply
    148,893x = 324,030 × 324,030
  4. Step 4: Simplify right side
    148,893x = 104,995,440,900
  5. Step 5: Solve for x
    x = 104,995,440,900/148,893
  6. Step 6: Final answer
    x = 705,173.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.